Natural log of a negative number - Mathematics Stack Exchange
Jan 10, 2021 · My teacher told me that the natural logarithm of a negative number does not exist, but $$\ln (-1)=\ln (e^ {i\pi})=i\pi$$ So, is it logical to have the natural logarithm of a negative …
What is the point of logarithms? How are they used?
Logarithms are defined as the solutions to exponential equations and so are practically useful in any situation where one needs to solve such equations (such as finding how long it will take …
What is discrete logarithm? - Mathematics Stack Exchange
Jul 5, 2020 · The discrete Logarithm is just reversing this question, just like we did with real numbers - but this time, with objects that aren't necessarily numbers. For example, if $ {a\cdot …
What algorithm is used by computers to calculate logarithms?
I would like to know how logarithms are calculated by computers. The GNU C library, for example, uses a call to the fyl2x() assembler instruction, which means that logarithms are calculated …
When do we use common logarithms and when do we use natural …
May 14, 2021 · Currently, in my math class, we are learning about logarithms. I understand that the common logarithm has a base of 10 and the natural has a base of e. But, when do we use …
Log of a negative number - Mathematics Stack Exchange
Jan 9, 2017 · The point is: the complex logarithm is not a function, but what we call a multivalued function. To turn it into a proper function, we must restrict what $\theta$ is allowed to be, for …
How is $\\ln$ pronounced by English speakers?
Jun 28, 2017 · Here I was exposed to so many variations: Saying the two letters l n Saying "log"/"logarithm" Saying "natural log" Saying "log e" All of the above were native-English …
Taylor Series for $\log (x)$ - Mathematics Stack Exchange
Nov 29, 2013 · Does anyone know a closed form expression for the Taylor series of the function $f (x) = \log (x)$ where $\log (x)$ denotes the natural logarithm function?
How do I square a logarithm? - Mathematics Stack Exchange
May 7, 2015 · How do I square a logarithm? Ask Question Asked 10 years, 7 months ago Modified 2 years, 5 months ago
Why is Euler's number used as a base for logarithms?
Apr 23, 2016 · Shortly after the work of Napier, Briggs, inspired by that work, produced tables of the base $10$ logarithm. Related tables were used for computations for centuries.